#include <bits/extc++.h>
#define all(v) v.begin(), v.end()
using namespace std;
const int MAXN = 1e5 + 10;
struct disjoint_set {
vector<int> papa, height, sz;
disjoint_set(int n) {
papa.resize(n + 1, -1);
height.resize(n + 1, 0);
sz.resize(n + 1, 1);
}
int Find(int u) {
if (papa[u] == -1) return u;
return papa[u] = Find(papa[u]);
}
bool Union(int u, int v) {
u = Find(u), v = Find(v);
if (u == v) return false;
if (height[u] < height[v]) swap(u, v);
papa[v] = u, sz[u] += sz[v];
if (height[u] == height[v]) height[u]++;
return true;
}
} ds(1);
int n, m, a, b, c, cent, A = -1, B = -1;
int visited[MAXN], papa[MAXN], sz[MAXN], col[MAXN];
vector<int> res, adj[MAXN], tree[MAXN];
int dfs(int u, int p = -1) {
for (int& v: tree[u]) {
if (v == p) continue;
sz[u] += dfs(v, u), papa[v] = u;
}
return sz[u];
}
int get_cent(int u, int p, int cnt) {
for (int& v: tree[u]) {
if (v == p) continue;
if (sz[v] > cnt / 2) return get_cent(v, u, cnt);
}
return u;
}
void grouping(int u, int p, int nc) {
col[u] = nc;
for (int& v: tree[u]) {
if (v == p) continue;
ds.Union(u, v), grouping(v, u, nc);
}
}
void go(int u) {
// cout << u << endl;
visited[u] = 1;
if (a-- > 0) res[u] = 1;
if (a == 0) return;
for (int& v: adj[u]) {
if (visited[v] || ds.Find(u) != ds.Find(v)) continue;
go(v);
}
}
void gogo(int u) {
visited[u] = 1;
// cout << u << endl;
if (b-- > 0) res[u] = 2;
if (b == 0) return;
for (int& v: adj[u]) {
if (visited[v]) continue;
gogo(v);
}
}
vector<int> find_split(int _n, int _a, int _b, int _c, vector<int> p, vector<int> q) {
vector<pair<int, int>> t = {{_a, 1}, {_b, 2}, {_c, 3}};
sort(all(t));
a = t[0].first, b = t[1].first, n = _n, m = p.size();
ds = disjoint_set(n);
vector<pair<int, int>> edges;
for (int i = 0; i < m; i++) {
if (ds.Union(p[i], q[i])) tree[p[i]].push_back(q[i]), tree[q[i]].push_back(q[i]);
else edges.push_back({p[i], q[i]});
adj[p[i]].push_back(q[i]), adj[q[i]].push_back(p[i]);
}
dfs(0), B = cent = get_cent(0, -1, n);
visited[cent] = 1;
ds = disjoint_set(n);
for (int v: adj[cent]) grouping(v, cent, ++c);
for (int v: adj[cent]) {
if (ds.sz[ds.Find(v)] >= a) A = v;
}
for (auto& [u, v]: edges) {
if (A != -1) break;
if (u == cent || v == cent) continue;
ds.Union(ds.Find(u), ds.Find(v));
if (ds.sz[ds.Find(u)] >= a) A = ds.Find(u);
}
if (A == -1) return vector<int>(n, 0);
res.resize(n, 3);
go(A); // A랑 같은 ds인 놈들만 탐색
visited[cent] = 0;
gogo(B);
// for (int i = 0; i < n; i++) cout << i << ' ' << res[i] << endl;
for (int i = 0; i < n; i++) res[i] = t[res[i] - 1].second;
return res;
}
